The generalized monotonicity property of the Perron root

Journal of Mathematical Sciences

Volumn 141, Issue 6, 2007, Pages 1576-1585

  Al'pin, Yu A ^a   Kolotilina, L Yu ^b  

^a KAZAN FEDERAL UNIVERSITY   (Russian Federation)

^b STEKLOV MATHEMATICAL INSTITUTE   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33846944056     PISSN: 10723374     EISSN: 15738795     Source Type: Journal    
DOI: 10.1007/s10958-007-0066-9     Document Type: Article

References (9)

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2. Yu. A. Al'pin, L. Yu. Kolotilina, and N. N. Korneeva, "Joint bounds for the Perron roots of nonnegative matrices with applications," Zap. Nauchn. Semin. POMI, 334, 30-56 (2006).
3. A. Berman and R. J. Plemmons, Nonnegative Matrices in the Mathematical Sciences, Academic Press, New York etc. (1979).
4. V. P. Chistyakov, "To bounding the Perron root of nonnegative matrices," Dokl. Akad. Nauk SSSR, 246, 548-550 (1979).
5. M. Fiedler and V. Pták, "Cyclic products and an inequality for determinants," Czechoslovak Math. J., 19, 428-450 (1969).
6. F. R. Gantmakher, The Theory of Matrices [in Russian], Nauka, Moscow (1967).
7. L. Yu. Kolotilina, "Nonsingularity/singularity criteria for block diagonally dominant matrices," Linear Algebra Appl., 359, 133-159 (2003).
8. A. M. Ostrowski, "On some metrical properties of operator matrices and matrices partitioned into blocks," J. Math. Anal. Appl., 2, 161-209 (1961).
9. F. Robert, "Recherche d'une M-matrice parmi les minorantes d'un opérateur linéaire." Numer. Math., 9, 189-199 (1966).